Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, chords AB and CD are intersecting each other at point L. Find the length of AB.

Options:

22.5 cm

21.5 cm

24.5 cm

23.5 cm

Correct Answer:

21.5 cm

Explanation:

We know that,

LC × LD = LB × AL 

We have,

LC = 6, CD = 11, LB = 4

AB = x 

According to the question ,

6 × (6 + 11) = 4 × (4 + x) 

= 4 + x = \(\frac{51}{2}\)

= 4 + x = 25.5 

= x = 21.5